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A refined subset simulation for the reliability analysis using the subset control variate
16 references·11 citing·32 second hop
A refined subset simulation for the reliability analysis using the subset control variate (2020)A refined subset simulation for the relia…The geometry of limit state function graphs and subset simulation: Counterexamples (2018)The geometry of limit state f…MCMC algorithms for Subset Simulation (2015)MCMC algorithms for Subset Si…A new efficient simulation method to approximate the probability of failure and most probable point (2012)A new efficient simulation me…A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)A combined Importance Samplin…Evaluating small failure probabilities of multiple limit states by parallel subset simulation (2010)Evaluating small failure prob…Subset simulation for structural reliability sensitivity analysis (2008)Subset simulation for structu…Reliability sensitivity method by line sampling (2007)Reliability sensitivity metho…Hybrid Subset Simulation method for reliability estimation of dynamical systems subject to stochastic excitation (2005)Hybrid Subset Simulation meth…Reliability of structures in high dimensions, part I: algorithms and applications (2004)Reliability of structures in …Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting (2004)Reliability estimation for dy…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…A new look at the response surface approach for reliability analysis (1993)A new look at the response su…General multi-dimensional probability integration by directional simulation (1990)General multi-dimensional pro…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…Importance sampling in structural systems (1989)Importance sampling in struct…Efficiency of Multivariate Control Variates in Monte Carlo Simulation (1985)Efficiency of Multivariate Co…AK-UL: An active learning kriging method based on uniform sampling and local refinement for efficient reliability analysis with small failure probability (2025)AK-UL: An active learning kri…A new uncertainty reduction-guided single-loop Kriging coupled with subset simulation for time-dependent reliability analysis (2025)A new uncertainty reduction-g…Stochastic collocation enhanced line sampling method for reliability analysis (2023)Stochastic collocation enhanc…RBIK-SS: A parallel adaptive structural reliability analysis method for rare failure events (2023)RBIK-SS: A parallel adaptive …One-step look-ahead policy for active learning reliability analysis (2023)One-step look-ahead policy fo…An eccentric radial-based importance sampling method for reliability analysis (2023)An eccentric radial-based imp…Adaptive radial importance sampling under directional stratification (2023)Adaptive radial importance sa…Efficient framework for structural reliability analysis based on adaptive ensemble learning paired with subset simulation (2022)Efficient framework for struc…An adaptive artificial neural network for reliability analyses of complex engineering systems (2022)An adaptive artificial neural…Adaptive stratified sampling for structural reliability analysis (2022)Adaptive stratified sampling …Probability analysis of bistable composite laminates using the subset simulation method (2021)Probability analysis of bista…Computational methods for efficient structural reliability and reliability sensitivity analysis (1994)Global sensitivity analysis-enhanced surrogate (GSAS) modeling for reliability analysis (2015)Adaptive surrogate model with active refinement combining Kriging and a trust region method (2017)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Exact and Invariant Second-Moment Code Format (1974)Structural reliability under combined random load sequences (1978)A hybrid relaxed first-order reliability method for efficient structural reliability analysis (2017)Structural Reliability Analysis and Prediction (2017)Adaptive kriging-based efficient reliability method for structural systems with multiple failure modes and mixed variables (2019)Recent advances in reliability analysis of aeroengine rotor system: a review (2021)Response Surface Methodology (1996)Moment methods for structural reliability (2001)Application of kriging method to structural reliability problems (2004)Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)Structural Reliability Methods (1996)Survey of sampling-based methods for uncertainty and sensitivity analysis (2006)AK-SYSi: an improved adaptive Kriging model for system reliability analysis with multiple failure modes by a refined U learning function (2018)A new adaptive importance sampling scheme for reliability calculations (1999)Application of line sampling simulation method to reliability benchmark problems (2006)Active learning for structural reliability: Survey, general framework and benchmark (2022)Stochastic Finite Elements: A Spectral Approach (1991)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)Simulation and the Monte Carlo Method (2007)Bayesian Updating with Structural Reliability Methods (2014)Sequential importance sampling for structural reliability analysis (2016)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Metamodel-based importance sampling for structural reliability analysis (2013)
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References

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  • 2005Hybrid Subset Simulation method for reliability estimation of dynamical systems subject to stochastic excitation

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101 cited
  • 2018The geometry of limit state function graphs and subset simulation: Counterexamples64 cited
  • 2010Evaluating small failure probabilities of multiple limit states by parallel subset simulation54 cited
  • Cited by

    • 2023RBIK-SS: A parallel adaptive structural reliability analysis method for rare failure events35 cited
    • 2025A new uncertainty reduction-guided single-loop Kriging coupled with subset simulation for time-dependent reliability analysis29 cited
    • 2022An adaptive artificial neural network for reliability analyses of complex engineering systems28 cited
    • 2021Probability analysis of bistable composite laminates using the subset simulation method26 cited
    • 2022Adaptive stratified sampling for structural reliability analysis25 cited
    • 2022Efficient framework for structural reliability analysis based on adaptive ensemble learning paired with subset simulation23 cited
    • 2023One-step look-ahead policy for active learning reliability analysis19 cited
    • 2023An eccentric radial-based importance sampling method for reliability analysis17 cited
    • 2025AK-UL: An active learning kriging method based on uniform sampling and local refinement for efficient reliability analysis with small failure probability14 cited
    • 2023Stochastic collocation enhanced line sampling method for reliability analysis14 cited
    • 2023Adaptive radial importance sampling under directional stratification13 cited